Multiply each equation by a constant that wold eliminate the y terms 2x-5y=-21 3x-3y=-18

x=-3, y=3. (-3, 3).

Step-by-step explanation:

2x-5y=-21

3x-3y=-18

simplify 3x-3y=-18 into x-y=-6

2x-5y=-21

x-y=-6

x=y+(-6)

x=y-6

2(y-6)-5y=-21

2y-12-5y=-21

-3y-12=-21

-3y=-21+12

-3y=-9

3y=9

y=9/3

y=3

x=3-6=-3

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

i need more details sorry

step-by-step explanation: